Given a piecewise function evaluate the limits

The video tutorial explains how to graph two functions: the negative absolute value of X and X^2 + 1. It covers the reflection of the absolute value function and the upward shift of the quadratic function. The tutorial also discusses the concept of limits for piecewise functions as X approaches zero from different directions.

What is the shape of the graph for the absolute value function before any transformations?

• A straight line

• A circle

• A V shape

• A parabola

How does multiplying the absolute value function by a negative number affect its graph?

• It shifts the graph to the right

• It reflects the graph over the X-axis

• It stretches the graph vertically

• It compresses the graph horizontally

For which values of X is the negative absolute value function considered?

• X equal to 0

• X less than or equal to 0

• X greater than 0

• X less than 0

What happens to the quadratic function X^2 + 1 in terms of its graph?

• It shifts down by one unit

• It shifts up by one unit

• It remains unchanged

• It reflects over the Y-axis

What is the limit of the piecewise function as X approaches zero from both sides?

• The limit does not exist

• The limit is infinite

• The limit exists and is 0

• The limit exists and is 1